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Finding the Fourth Proportional to 233.64, 350.46 and 96.71

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Solution

The fourth proportional to 233.64, 350.46 and 96.71 is: 145.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 350.46 = 96.71 : x
  2. Step 2: Convert to fraction form
    233.64/350.46 = 96.71/x
  3. Step 3: Cross multiply
    233.64x = 350.46 × 96.71
  4. Step 4: Simplify right side
    233.64x = 33,891.23
  5. Step 5: Solve for x
    x = 33,891.23/233.64
  6. Step 6: Final answer
    x = 145.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.